Sunday, 15 April 2012

CBSE Class 6th ( VI) Mathematics Chapter 7. Fractions: Exercise 7.6

Things to remember.....

A fraction is a number representing a part of a whole. The whole may be a
single object or a group of objects.

When expressing a situation of counting parts to write a fraction, it must be
ensured that all parts are equal.

In 5/7 , 5 is called the numerator and 7 is called the denominator.

Fractions can be shown on a number line. Every fraction has a point associated
with it on the number line.

In a proper fraction, the numerator is less than the denominator. The fractions,
where the numerator is greater than the denominator are called improper fractions.
An improper fraction can be written as a combination of a whole and a part, and
such fraction then called mixed fractions.

Each proper or improper fraction has many equivalent fractions. To find an
equivalent fraction of a given fraction, we may multiply or divide both the
numerator and the denominator of the given fraction by the same number.

A fraction is said to be in the simplest (or lowest) form if its numerator and the
denominator have no common factor except 1.

1. Solve :

Answer:

2

7

2×5

1×3

14+3

17

a.

+

=

+

=

=

3

15

3×5

7×3

21

21

3

7

3×3

7×2

9+14

23

b.

+

=

+

=

=

10

15

10×3

15×2

30

30

4

2

4×7

2×9

28+18

46

c.

+

=

+

=

=

9

7

3×7

7×9

63

63

5

1

5×3

1×7

15+7

22

d.

+

=

+

=

=

7

3

7×3

3×7

21

2

2

1

2×6

1×6

12+5

17

e.

+

=

+

=

=

5

6

5×6

6×5

30

30

4

2

4×3

2×5

12+10

22

f.

+

=

+

=

=

5

3

5×3

3×5

15

15

3

1

3×3

1×4

9-4

5

g.

+

=

+

=

=

4

3

4×3

3×4

12

12

5

1

5×3

1×6

15-6

5

h.

+

=

+

=

=

6

3

6×3

3×6

18

18

2

3

1

2×4

3×3

1×6

8+9+6

23

i.

+

+

=

+

=

=

=

3

4

2

3×4

4×3

2×6

12

12

2

1

1

1×3

1×2

1×1

3+2+1

6

j.

+

+

=

+

=

=

=

=

1

3

3

2

2×3

3×2

6

6

6

1

2

1

2

1+2

4+3

7

k.

1

+

3

=

1+3

+(

+

)

=

4

+(

)=

= (

)

3

3

3

3

3

3

3

2

1

14

13

14×4

13×3

56+39

95

l.

4

+

3

=

+

=

+

=

=

3

4

3

4

3×4

4×3

12

12

16

7

16×5

7×5

80-35

45÷5

9

m.

+

=

+

=

=

=

5

5

5×5

5×5

25

25÷5

5

4

1

4×2

1×2

8-3

5

n.

+

=

+

=

=

3

2

3×2

3×2

6

6

2. Sarita bought 2/5 metre of ribbon and Lalita 3/4 metre of ribbon. What is the total length of the ribbon they bought?Answer:

2

The metre length of ribbon, Sarita bought =

5

3

The metre length of ribbon lalita bought =

4

2

3

2×4

3×5

8

15

13

Total length of ribbon they bought =

+

=

+

=

+

=

5

4

5×4

4×5

20

20

20

3. Naina was given 1 (1/2) piece of cake and Najma was given 1 (1/3) piece of cake. Find
the total amount of cake was given to both of them.Answer:

1

The piece of cake, Naina given

= 1

2

1

The piece of cake, Najma given

= 1

3

1

1

3

4

3×3

4×2

17

5

The total amount of cake was
given to both of them =

1

+

1

=

+

=

+

=

= 2

2

3

2

3

2×3

3×2

6

6

4. Fill in the boxes.

Answer:

5. Complete the addition-subtraction box.

Answer:

6. A piece of wire 7/8 metre long broke into two pieces. One piece was 1/4 metre long. How long is the other piece?Answer:

7

The length of wire

=

m

8

1

The lenth of one broken piece of wire

=

m

4

7

1

7×1

1×2

7

2

7-2

5

The length of other wire

=

-

=

-

=

-

=

=

8

4

8×1

4×2

8

8

8

8

7. Nandini’s house is 9/10 km from her school. She walked some distance and then took a bus for 1/2 km to reach the school. How far did she walk?Answer:

9

Distance of school from Nadinis house

=

km

10

1

Distance travelled by bus

=

km

2

9

1

9×1

1×5

9

5

4

2

Distance she walked =

-

=

-

=

-

=

=

km

10

2

10

10

10

10

10

5

8. Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5/6 th full and Samuel’s shelf is 2/5 th full. Whose bookshelf is more full? By what fraction?Answer:

Fraction of Asha's shelf filled with books

5

=

6

Fraction of Samual shelf filled with books

2

=

5

For Comparing we have to first find LCM of denominator of given fractions i.e.6, 5, which is 30 , using LCM we can find equivalent fractions of 5/6 and 2/5 with same denominator 30, which can compared easily

5

5×5

25

2

2×6

12

=

=

=

,

=

=

6

6×5

30

5

5×6

30

9. Jaidev takes 2 1/5to walk across the school ground. Rahul takes 7/4 min to do the same. Who takes less time and by what fraction?Answer: